Question

$$Z_{1}=\frac{3}{2}-\frac{1}{2}i; Z_{2}=\frac{1}{2}-\frac{3}{2}i; Z_{1}+Z_{2}=Z_{1}+Z_{2}; (ii)\ Z_{1}-Z_{2}=Z_{1}-Z_{2}$$

Solve for z_1, z_2, f_2, r_1

$z_{1}=-\frac{5}{2}i=-2.5i$
$z_{2}=\frac{1}{2}-\frac{3}{2}i=0.5-1.5i$
$f_{2}=\frac{\frac{45}{4}-\frac{9}{4}i}{r_{1}}$
$r_{1}\neq 0$